Answer:
[tex]y = - \frac{1}{5} x[/tex]
Step-by-step explanation:
When two line is parallel, they share the same gradient.
From the line equation given,
[tex]y = - \frac{1}{5} x - 1[/tex]
We know the gradient (m) is
[tex] - \frac{1}{5} [/tex]
So the other line will also share the same gradient.
By using the point-slope form: y-y₁=m(x-x₁)
Substitute (-5, 1) and m= - 1/5 into x₁, y₁ and m respectively.
[tex]y - 1 = - \frac{1}{5} (x + 5)[/tex]
[tex]y - 1 = - \frac{1}{5} x - 1[/tex]
[tex]y = - \frac{1}{5} x[/tex]
